LCM of 9 and 12 is equal to 36. The comprehensive work provides more insight of how to find what is the lcm of 9 and 12 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 9 and 12?
lcm (9 12) = (?)
9 => 3 x 3
12 => 2 x 2 x 3
= 3 x 3 x 2 x 2
= 36
lcm (9 and 12) = 36
36 is the lcm of 9 and 12.
where,
9 is a positive integer,
12 is a positive integer,
36 is the lcm of 9 and 12,
{3} in {3 x 3, 2 x 2 x 3} is the common factors of 9 and 12,
{3 x 2 x 2} in {3 x 3, 2 x 2 x 3} are the uncommon factors of 9 and 12.
Use in Mathematics: LCM of 9 and 12
The below are some of the mathematical applications where lcm of 9 and 12 can be used:
The below solved example with step by step work shows how to find what is the lcm of 9 and 12 by using prime factors method and division method.
Solved example using prime factors method:
What is the LCM of 9 and 12?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 9
B = 12
What to be found:
find the lcm of 9 and 12
step 2 Find the prime factors of 9 and 12:
Prime factors of 9 = 3 x 3
Prime factors of 12 = 2 x 2 x 3
step 3 Identify the repeated and non-repeated prime factors of 9 and 12:
{3} is the most repeated factor and {3 x 2 x 2} are the non-repeated factors of 9 and 12.
step 4 Find the product of repeated and non-repeated prime factors of 9 and 12:
= 3 x 3 x 2 x 2
= 36
lcm(9 and 12) = 36
Hence,
lcm of 9 and 12 is 36
2 | 9 | 12 |
2 | 9 | 6 |
3 | 9 | 3 |
3 | 3 | 1 |
1 | 1 |